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Finding the Fourth Proportional to 7,754.60, 10,701.29 and 4,217.80

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Solution

The fourth proportional to 7,754.60, 10,701.29 and 4,217.80 is: 5,820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.60 : 10,701.29 = 4,217.80 : x
  2. Step 2: Convert to fraction form
    7,754.60/10,701.29 = 4,217.80/x
  3. Step 3: Cross multiply
    7,754.60x = 10,701.29 × 4,217.80
  4. Step 4: Simplify right side
    7,754.60x = 45,135,853.12
  5. Step 5: Solve for x
    x = 45,135,853.12/7,754.60
  6. Step 6: Final answer
    x = 5,820.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.